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math.AP2013
Removable sets for Lipschitz harmonic functions on Carnot groups
Vasilis Chousionis, Valentino Magnani, Jeremy T. Tyson
Let G be a Carnot group with homogeneous dimension Q larger than 2 and let L be a sub-Laplacian on G. We prove that the critical dimension for removable sets of Lipschitz L-harmoni…
math.DG2013
BV functions and sets of finite perimeter in sub-Riemannian manifolds
Luigi Ambrosio, Roberta Ghezzi, Valentino Magnani
We give a notion of BV function on an oriented manifold where a volume form and a family of lower semicontinuous quadratic forms are given. When we consi…